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Journal of Nanomaterials
Volume 2017, Article ID 5658796, 12 pages
Research Article

One-Electron Conical Nanotube in External Electric and Magnetic Fields

Universidad Industrial de Santander, A. A. 678, Bucaramanga, Colombia

Correspondence should be addressed to L. F. Garcia; moc.liamg@ragqarfl

Received 11 August 2016; Accepted 23 January 2017; Published 15 February 2017

Academic Editor: Xin Zhang

Copyright © 2017 L. F. Garcia et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The effects of variation of the aperture angle on spectral and magnetic properties of one-electron nanotube of the axially symmetrical conical shape in the presence of the electric and magnetic fields have been investigated based on a numerical solution of the Schrödinger equation in the effective mass approximation. We show that the energy spectrum and the magnetic dipole moment of the structure are changed dramatically with increase of the cone’s aperture angle due to the interplay between the diamagnetic and centrifugal forces, which push the electron at opposite directions. Particularly, the energy levels close to the ground state become quasi-degenerate, owing to a change of the hidden symmetry, induced by the magnetic field in this structure, when its morphology is converted from the cylindrical type to the conical one and the Aharonov-Bohm oscillations of the ground state energy and of the magnetic dipole moment are quenched. We found additionally that any weak electric field breaks this hidden symmetry, splits quasi-degenerate state, and restores the Aharonov-Bohm oscillations.